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08_ISWxLSS: late-potential return window
V30-30.10 · F 证据节 / 显影节 ·
30.10 compresses Volume 30’s late-potential return into a one-amplitude ISW×LSS bridge: using DESI Legacy Survey × Planck 2018 summary data, the real amplitude A_obs = 0.984 with sigma = 0.349, one shared Gaussian likelihood, one shared A_ISW parameter with Uniform(0,3) prior, and a 1D grid search over 0–3 with 1001 points, ΛCDM and Energy Filament Theory (EFT) land on the same best value A = 0.984 and the same χ² = 0 / BIC = 0, so ΔBIC = 0 and the report records full equivalence rather than a unique late-time potential-decay explanation, while the section remains a compressed support-and-bridge window rather than a full ISW×LSS pipeline.
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Keywords: Energy Filament Theory, EFT, ISW×LSS, A_ISW, late_potential_window, single-amplitude return, DESI Legacy Survey, Planck 2018, full equivalence, RSD interface, BAO interface
Section knowledge units
thesis
30.10 is the compressed late-potential return of Volume 30’s early_growth_window. Using DESI Legacy Survey × Planck ISW×LSS summary data, the source compares ΛCDM and Energy Filament Theory (EFT) under the same data, the same likelihood, and the same one-parameter scaffold. Because both sides land on the same A_ISW amplitude and the report writes ΔBIC = 0, this window records full equivalence rather than a unique late-time potential-decay explanation. Inside V30 its job is to deny uniqueness one more time at the late-potential layer without pretending to be a full ISW analysis pipeline.
mechanism
The fairness frame is maximally tight. The source uses one real summary datum, A_obs = 0.984 with sigma = 0.349, and one Gaussian likelihood. Both ΛCDM and EFT are parameterized by the same A_ISW amplitude with the same Uniform(0,3) prior, and the report states directly that the statistical structure is symmetric. In Volume 30, that means 30.10 is not a flexibility contest; it is a narrow one-amplitude uniqueness test.
evidence
The numerical layer is as compressed as the model frame. The source runs a 1D grid search over 0–3 with 1001 points and reports that both sides return A = 0.984, χ² = 0, and BIC = 0. The result is therefore ΔBIC = 0. Under the report’s release-level uniqueness logic, that is not weak preference and not weak equivalence; it is exact equivalence in this one-amplitude ledger. The report consequently states that ISW×LSS cannot supply a unique explanation here.
boundary
The section must stay narrow. The source explicitly says that no MCMC chains are run, so R-hat and ESS are not applicable. More importantly, the observation is compressed into one summary amplitude rather than a full ISW×LSS cross-spectrum, tomographic, or multi-parameter late-time inference chain. That means 30.10 should not be inflated into a full causal decomposition of dark-energy-driven potential decay, a global late-universe verdict, or an ontology-bearing statement about why EFT works. Its bounded claim is only that this release-level ISW×LSS window does not preserve uniqueness.
interface
The reproducibility block is minimal: the named artifact is outputs/results/isw_fit_summary.json, and the acknowledgments point to DESI Legacy Survey and Planck 2018. Inside Volume 30, 30.10 sits as a compressed bridge between 30.6’s RSD growth ledger and 30.7’s BAO geometry ledger, adding a late-potential return after both of those windows have already denied uniqueness in their own ways. Its bundle role is therefore support-and-bridge only: it closes a light report slot without becoming an ontology-bearing pillar.